{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.covariance import EllipticEnvelope\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (8,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_dimensions = 2\n",
    "num_samples = 1000\n",
    "outlier_ratio = 0.01\n",
    "num_inliers = int(num_samples * (1-outlier_ratio))\n",
    "num_outliers = num_samples - num_inliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate the normally-distributed inliers\n",
    "x = np.random.randn(num_inliers, num_dimensions)\n",
    "\n",
    "# Add outliers sampled from a random uniform distribution\n",
    "x_rand = np.random.uniform(low=-10, high=10, size=(num_outliers, num_dimensions))\n",
    "x = np.r_[x, x_rand]\n",
    "\n",
    "# Generate labels, 1 for inliers and -1 for outliers\n",
    "labels = np.ones(num_samples, dtype=int)\n",
    "labels[-num_outliers:] = -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W6biyQ+mtaWVWZxTvi8+7QF997OqSE8c8/dzTumHtDdp45saKhgrmZ6Mr/P0W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\nILPPnAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf2bda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inlier_plot = plt.plot(x[:num_inliers,0], x[:num_inliers,1], 'go', label='inliers')\n",
    "outlier_plot = plt.plot(x[-num_outliers:,0], x[-num_outliers:,1], 'ko', label='outliers')\n",
    "plt.xlim(-11,11)\n",
    "plt.ylim(-11,11)\n",
    "plt.legend(numpoints=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Applying sklearn.covariance.EllipticEnvelope"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of errors: 4\n"
     ]
    }
   ],
   "source": [
    "from sklearn.covariance import EllipticEnvelope\n",
    "\n",
    "classifier = EllipticEnvelope(contamination=outlier_ratio)\n",
    "classifier.fit(x)\n",
    "y_pred = classifier.predict(x)\n",
    "num_errors = sum(y_pred != labels)\n",
    "print('Number of errors: {}'.format(num_errors))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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r/fr1s7ZJf0ppaSkvv/wyhw4dYvDgwbz11ls2tZzLaDSye/duNm3aRHV1NTEx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cfc9400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores_pred = classifier.decision_function(x)\n",
    "threshold = stats.scoreatpercentile(scores_pred, 100 * outlier_ratio)\n",
    "xx, yy = np.meshgrid(np.linspace(-11,11,1000), np.linspace(-11,11,1000))\n",
    "Z = classifier.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "inlier_plot = plt.plot(x[:num_inliers,0], x[:num_inliers,1], 'go', label='inliers')\n",
    "outlier_plot = plt.plot(x[-num_outliers:,0], x[-num_outliers:,1], 'ko', label='outliers')\n",
    "\n",
    "plt.contour(xx, yy, Z, levels=[threshold],linewidths=5, colors='gray')\n",
    "plt.contour(xx, yy, Z, levels=np.linspace(Z.min(), threshold, 10), cmap=plt.cm.Greys_r)\n",
    "plt.contourf(xx, yy, Z, levels=[threshold, Z.max()], colors='gray')\n",
    "plt.xlim(-11,11)\n",
    "plt.ylim(-11,11)\n",
    "\n",
    "plt.legend(numpoints=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example application on non-Gaussian distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_0 = np.random.randn(num_inliers//3, num_dimensions) - 3\n",
    "x_1 = np.random.randn(num_inliers//3, num_dimensions)\n",
    "x_2 = np.random.randn(num_inliers//3, num_dimensions) + 4\n",
    "\n",
    "# Add outliers sampled from a random uniform distribution\n",
    "x = np.r_[x_0, x_1, x_2, np.random.uniform(low=-10, high=10, size=(num_outliers, num_dimensions))]\n",
    "\n",
    "# Generate labels, 1 for inliers and -1 for outliers\n",
    "labels = np.ones(num_samples, dtype=int)\n",
    "labels[-num_outliers:] = -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yPDd7zrFCmVPNcz/oaO1A79reiovWlFplzfwhov90P/r+R5/n4lRei7+Uuzc8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1126a94a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inlier_plot = plt.plot(x[:num_inliers,0], x[:num_inliers,1], 'go', label='inliers')\n",
    "outlier_plot = plt.plot(x[-num_outliers:,0], x[-num_outliers:,1], 'ko', label='outliers')\n",
    "plt.xlim(-11,11)\n",
    "plt.ylim(-11,11)\n",
    "plt.legend(numpoints=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of errors: 8\n"
     ]
    }
   ],
   "source": [
    "classifier = EllipticEnvelope(contamination=outlier_ratio)\n",
    "classifier.fit(x)\n",
    "y_pred = classifier.predict(x)\n",
    "num_errors = sum(y_pred != labels)\n",
    "print('Number of errors: {}'.format(num_errors))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OHEnv3r0xm80cPnyYpKQkh5yUVlZWRkVFBd7e3rJ6P9pQKpW4ublVRk3uZjtP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\nMISjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cf1b358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scores_pred = classifier.decision_function(x)\n",
    "threshold = stats.scoreatpercentile(scores_pred, 100 * outlier_ratio)\n",
    "xx, yy = np.meshgrid(np.linspace(-11,11,1000), np.linspace(-11,11,1000))\n",
    "Z = classifier.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "inlier_plot = plt.plot(x[:num_inliers,0], x[:num_inliers,1], 'go', label='inliers')\n",
    "outlier_plot = plt.plot(x[-num_outliers:,0], x[-num_outliers:,1], 'ko', label='outliers')\n",
    "\n",
    "plt.contour(xx, yy, Z, levels=[threshold],linewidths=5, colors='gray')\n",
    "plt.contour(xx, yy, Z, levels=np.linspace(Z.min(), threshold, 7), cmap=plt.cm.Greys_r)\n",
    "plt.contourf(xx, yy, Z, levels=[threshold, Z.max()], colors='gray')\n",
    "\n",
    "plt.xlim(-11,11)\n",
    "plt.ylim(-11,11)\n",
    "plt.legend(numpoints=1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
